Complex dynamical systems on projective spaces. (English) Zbl 0924.58059

Ueda, Tetsuo

Ushiki, S. (ed.), Proceedings of the RIMS conference on chaotic dynamical systems, Kyoto, Japan, July 7–10, 1992. Singapore: World Scientific. Advanced Series in Dynamical Systems. 13, 120-138 (1993).

Summary: Dynamics of holomorphic mappings of a complex projective space to itself are discussed. Examples of mappings are given, whose Julia sets and Fatou sets are explicitly described.
For the entire collection see [Zbl 0911.00034].

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C70	Attractors and repellers of smooth dynamical systems and their topological structure

Keywords:

holomorphic mappings; complex projective; Julia sets; Fatou sets